Grade 6 · Ratios & Proportional Relationships · 6.RP.A.3
Ratio & Rate Reasoning Worksheets
Free, printable, and ready to teach: a practice worksheet, homework, an exit ticket, and an answer key with step-by-step solutions — plus lesson slides you can edit. No sign-up needed.
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- PDFPractice worksheet3 pages · 9 questions
- PDFHomework3 pages · 8 questions
- PDFExit ticket2 pages · 4 questions
- PDFAnswer key with step-by-step solutions7 pages · covers every sheet
- PDFLesson slides8 slides · print or present
- PPTXEditable slidesPowerPoint · opens in Google Slides & Keynote
PDFs print on US Letter paper. Free for classroom and home use.
Watch: Finding Percent of a Number: Step by Step Guide
Key idea
A walker covers 12 miles in 4 hours. To find the time for 21 miles, reason with the rate: speed = 12 ÷ 4 = 3 mph; time = 21 ÷ 3 = 7 hours. Choose a ratio table, the unit rate, or scaling.
Sample problems
- 3 pens cost $6. What is the cost of 7 pens?
- A printer prints 5 pages in 2 minutes. How many pages in 10 minutes?
- A table shows 4 apples cost $2. What is the cost of 10 apples?
- A recipe for 6 muffins uses 2 cups of flour. How much flour for 15 muffins?
Common mistakes to watch for
- Scaled only the number of tickets, or added $10 again per ticket.
- Divided the wrong way (3 ÷ 90), or added 90 for each extra gallon.
- Added 6 for each extra person, or scaled by 2 (4→8) and stopped.
The answer key explains each one, so you can tell what a wrong answer means.
How to use this set
- Teach with the slides (about 15 minutes), or watch the video together.
- Practice with the worksheet. Questions climb from fluency to application to reasoning.
- Check understanding with the exit ticket, and send the homework home.
- Mark with the answer key — each answer shows the steps and the most likely mistake.
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